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Finding the Fourth Proportional to 209,339.37, 288,885.15 and 113,843.88

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Solution

The fourth proportional to 209,339.37, 288,885.15 and 113,843.88 is: 157,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,339.37 : 288,885.15 = 113,843.88 : x
  2. Step 2: Convert to fraction form
    209,339.37/288,885.15 = 113,843.88/x
  3. Step 3: Cross multiply
    209,339.37x = 288,885.15 × 113,843.88
  4. Step 4: Simplify right side
    209,339.37x = 32,887,806,350.38
  5. Step 5: Solve for x
    x = 32,887,806,350.38/209,339.37
  6. Step 6: Final answer
    x = 157,102.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.